Abstract
This independent study explores two-person zero-sum game theory. The paper begins by giving a brief history of how game theory was founded. Next the basic definitions of game theory problems are given to help understand the structure of a game. These definitions allow for a section about two-person zero-sum games to be written. In this section lies a proof of the minimax theorem, which is one of the main theorems in game theory. The next chapter shows a few of the different ways to solve two-person game-theory problems. Knowing what these problems are and how to solve them helps create a real life example. The problem in this paper analyzes a game between the pitcher and a batter in a baseball game. Taking data from the 2011 major league baseball season, a game theory problem was created and solved. The solution was then analyzed to help understand optimal pitch selection.
Advisor
Hartman, James
Department
Mathematics
Recommended Citation
Stidham, Joshua, "Two-Person Zero-Sum Game Theory: Batter Vs Pitcher" (2012). Senior Independent Study Theses. Paper 937.
https://openworks.wooster.edu/independentstudy/937
Disciplines
Applied Mathematics
Publication Date
2012
Degree Granted
Bachelor of Arts
Document Type
Senior Independent Study Thesis
© Copyright 2012 Joshua Stidham